Nodal Line Finite Difference Method for the Analysis of Circular Cylindrical Shells.

Document Type : Research Studies

Author

Associate Professor of Structural Engineering Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

Abstract

In the present work, analysis of simply supported thin elastic circular cylindrical shells via the Author's nodal line finite difference method is presented. The analysis starts with the accurate derivation of the three governing partial differential equations without any simplifications or assumptions that affect the generality of these equations. The method requires the division of the shell into a mesh of parallel fictitious nodal lines in the longitudinal direction simple trigonometric basic functions having uncoupling property are used to express the displacement components variation along the nodal lines.
Consequently, three ordinary differential equations are derived and cost into three simultaneous nodal line difference equations.
The final matrix of these difference equations is a square banded matrix with small half band width which reduces, to a great extent, the core storage and the time of computations. The results obtained are compared with those from analytical solutions and the comparison demonstrated a close agreement.

Main Subjects

MEJ- Mansoura Engineering Journal
Volume 14, Issue 2
December 1989
Pages 39-51

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